{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T05:53:45Z","timestamp":1723182825642},"reference-count":39,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2016,7,1]],"date-time":"2016-07-01T00:00:00Z","timestamp":1467331200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"funder":[{"DOI":"10.13039\/501100003443","name":"Russian Federation","doi-asserted-by":"publisher","award":["N 02.B.49.21.0003"],"id":[{"id":"10.13039\/501100003443","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100009094","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["14-12-00811"],"id":[{"id":"10.13039\/100009094","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2016,7]]},"DOI":"10.1016\/j.cnsns.2015.11.024","type":"journal-article","created":{"date-parts":[[2015,12,5]],"date-time":"2015-12-05T00:09:25Z","timestamp":1449274165000},"page":"175-191","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":15,"special_numbering":"C","title":["Mixed-mode synchronization between two inhibitory neurons with post-inhibitory rebound"],"prefix":"10.1016","volume":"36","author":[{"given":"Roman","family":"Nagornov","sequence":"first","affiliation":[]},{"given":"Grigory","family":"Osipov","sequence":"additional","affiliation":[]},{"given":"Maxim","family":"Komarov","sequence":"additional","affiliation":[]},{"given":"Arkady","family":"Pikovsky","sequence":"additional","affiliation":[]},{"given":"Andrey","family":"Shilnikov","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.cnsns.2015.11.024_bib0001","series-title":"Synchronization: a universal concept in nonlinear sciences Cambridge nonlinear Science series","author":"Pikovsky","year":"2003"},{"issue":"7","key":"10.1016\/j.cnsns.2015.11.024_bib0002","doi-asserted-by":"crossref","first-page":"2143","DOI":"10.1142\/S0218127404010539","article-title":"On some mathematical topics in classical synchronization: a tutorial","volume":"14","author":"Shilnikov","year":"2004","journal-title":"J Bifurc Chaos"},{"issue":"2","key":"10.1016\/j.cnsns.2015.11.024_bib0003","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1137\/100791233","article-title":"Mixed-mode oscillations with multiple time scales.","volume":"54","author":"Desroches","year":"2012","journal-title":"SIAM Rev"},{"issue":"4, 2","key":"10.1016\/j.cnsns.2015.11.024_bib0004","article-title":"Fast reciprocal inhibition can synchronize bursting neurons","volume":"81","author":"Jalil","year":"2010","journal-title":"Physical Review E"},{"issue":"1","key":"10.1016\/j.cnsns.2015.11.024_bib0005","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1140\/epjst\/e2010-01338-4","article-title":"Synchronization of slow-fast systems","volume":"191","author":"Omelchenko","year":"2010","journal-title":"Eur Phys J-Spec Top"},{"issue":"3, 2","key":"10.1016\/j.cnsns.2015.11.024_bib0006","article-title":"Spikes matter for phase-locked bursting in inhibitory neurons","volume":"85","author":"Jalil","year":"2012","journal-title":"Phys Rev E"},{"issue":"4","key":"10.1016\/j.cnsns.2015.11.024_sbref0007","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pone.0092918","article-title":"Key bifurcation of bursting polyrhythms in 3-cell central pattern generators","volume":"9","author":"Wojcik","year":"2014","journal-title":"PLoS ONE"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0008","year":"1985"},{"issue":"3","key":"10.1016\/j.cnsns.2015.11.024_bib0009","doi-asserted-by":"crossref","first-page":"687","DOI":"10.1152\/physrev.1996.76.3.687","article-title":"Principles of rhythmic motor pattern generation","volume":"76","author":"Marder","year":"1996","journal-title":"Physiol Rev"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0010","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1146\/annurev.ne.08.030185.001313","article-title":"Central pattern generators for locomotion, with special references to vertebrates","volume":"8","author":"Gillner","year":"1985","journal-title":"Ann Rev Neurosci"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0011","doi-asserted-by":"crossref","first-page":"1213","DOI":"10.1103\/RevModPhys.78.1213","article-title":"Dynamical principles in neuroscience","volume":"78","author":"Rabinovich","year":"2006","journal-title":"Rev Mod Phys"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0012","first-page":"1","article-title":"The significance of dynamical architecture for adaptive responses to mechanical loads during rhythmic behavior","author":"Shaw","year":"2014","journal-title":"J Comput Neurosci"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0013","doi-asserted-by":"crossref","first-page":"022715","DOI":"10.1103\/PhysRevE.90.022715","article-title":"Robust design of polyrhythmic neural circuits","volume":"90","author":"Schwabedal","year":"2014","journal-title":"Phys Rev E"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0014","series-title":"Methods of qualitative theory in nonlinear dynamics, Parts I and II","author":"Shilnikov","year":"1998"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0015","series-title":"Dynamical systems in neuroscience.","author":"Izhikevich","year":"2007"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0016","article-title":"Half-center oscillators underlying rhythmic movements","author":"Hill","year":"2003"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0017","first-page":"233","article-title":"Alternating and synchronous rhythms in reciprocally inhibitory model neurons","volume":"8","author":"Wang","year":"1985","journal-title":"Ann Rev Neurosci"},{"issue":"1\u20132","key":"10.1016\/j.cnsns.2015.11.024_bib0018","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/BF00962719","article-title":"Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks","volume":"1","author":"Skinner","year":"1994","journal-title":"J Comput Neurosci"},{"issue":"3","key":"10.1016\/j.cnsns.2015.11.024_bib0019","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1162\/089976600300015727","article-title":"Geometric analysis of population rhythms in synaptically coupled neuronal networks","volume":"12","author":"Rubin","year":"2000","journal-title":"Neural Comput"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0020","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S1874-575X(02)80022-4","article-title":"Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators","volume":"2","author":"Kopell","year":"2002","journal-title":"Handb Dyn Syst"},{"issue":"3","key":"10.1016\/j.cnsns.2015.11.024_bib0021","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1016\/j.physd.2007.09.011","article-title":"Reducing neuronal networks to discrete dynamics","volume":"237","author":"Terman","year":"2008","journal-title":"Physica D Nonlinear Phenomena"},{"issue":"2","key":"10.1016\/j.cnsns.2015.11.024_bib0022","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1152\/jn.1994.72.2.803","article-title":"A model of spindle rhythmicity in the isolated thalamic reticular nucleus","volume":"72","author":"Destexhe","year":"1994","journal-title":"J Neurophysiol"},{"issue":"3","key":"10.1016\/j.cnsns.2015.11.024_bib0023","doi-asserted-by":"crossref","DOI":"10.1063\/1.2959850","article-title":"Polyrhythmic synchronization in bursting networking motifs","volume":"18","author":"Shilnikov","year":"2008","journal-title":"Chaos"},{"issue":"4146","key":"10.1016\/j.cnsns.2015.11.024_bib0024","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1126\/science.185.4146.181","article-title":"Mechanism of postinhibitory rebound in molluscan neurons","volume":"185","author":"Perkel","year":"1974","journal-title":"Science"},{"issue":"1","key":"10.1016\/j.cnsns.2015.11.024_bib0025","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10827-008-0124-4","article-title":"Control of oscillation periods and phase durations in half-center central pattern generators: a comparative mechanistic analysis","volume":"27","author":"Daun","year":"2009","journal-title":"J Comput Neurosci"},{"issue":"8","key":"10.1016\/j.cnsns.2015.11.024_bib0026","doi-asserted-by":"crossref","first-page":"715","DOI":"10.1007\/s00359-005-0628-6","article-title":"Mechanisms of postinhibitory rebound and its modulation by serotonin in excitatory swim motor neurons of the medicinal leech","volume":"191","author":"Angstadt","year":"2005","journal-title":"J Compar Physiol A-Neuroethol Sensory Neural Behav Physiol"},{"issue":"2","key":"10.1016\/j.cnsns.2015.11.024_bib0027","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/s10827-007-0026-x","article-title":"Capturing the bursting dynamics of a two-cell inhibitory network using a one-dimensional map","volume":"23","author":"Matveev","year":"2007","journal-title":"J Comput Neurosci"},{"issue":"5","key":"10.1016\/j.cnsns.2015.11.024_bib0028","article-title":"Rapid synchronization through fast threshold modulation","volume":"68","author":"Kopell","year":"1993","journal-title":"Biol Cybern"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0029","series-title":"Piking neuron models. Single neurons, populations, plasticity","author":"Ermentrout","year":"2010"},{"issue":"3, SI","key":"10.1016\/j.cnsns.2015.11.024_bib0030","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/s11071-011-0046-y","article-title":"Complete dynamical analysis of a neuron model","volume":"68","author":"Shilnikov","year":"2012","journal-title":"Nonlinear Dyn"},{"key":"10.1016\/j.cnsns.2015.11.024_bib0031","series-title":"Mathematical foundations of neuroscience","author":"Ermentrout","year":"2002"},{"issue":"13","key":"10.1016\/j.cnsns.2015.11.024_bib0032","doi-asserted-by":"crossref","first-page":"134101","DOI":"10.1103\/PhysRevLett.98.134101","article-title":"Origin of bursting through homoclinic spike adding in a neuron model","volume":"98","author":"Channell","year":"2007","journal-title":"Phys Rev Lett"},{"issue":"3","key":"10.1016\/j.cnsns.2015.11.024_bib0033","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1007\/s10827-009-0167-1","article-title":"Variability of bursting patterns in a neuron model in the presence of noise","volume":"27","author":"Channell","year":"2009","journal-title":"J Comput Neurosci"},{"issue":"4","key":"10.1016\/j.cnsns.2015.11.024_bib0034","doi-asserted-by":"crossref","DOI":"10.1063\/1.4825389","article-title":"Toward robust phase-locking in melibe swim central pattern generator models","volume":"23","author":"Jalil","year":"2013","journal-title":"Chaos"},{"issue":"7","key":"10.1016\/j.cnsns.2015.11.024_bib0035","doi-asserted-by":"crossref","first-page":"078102","DOI":"10.1103\/PhysRevLett.101.078102","article-title":"When weak inhibition synchronizes strongly desynchronizing networks of bursting neurons","volume":"101","author":"Belykh","year":"2008","journal-title":"Phys Rev Lett"},{"issue":"1","key":"10.1016\/j.cnsns.2015.11.024_bib0036","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/0375-9601(81)90626-5","article-title":"A dynamical model for periodic and chaotic oscillations in the Belousov-Zhabotinsky reaction","volume":"85","author":"Pikovsky","year":"1981","journal-title":"Phys Lett A"},{"issue":"3","key":"10.1016\/j.cnsns.2015.11.024_sbref0037","doi-asserted-by":"crossref","DOI":"10.1007\/s10827-009-0167-1","article-title":"Variability of bursting patterns in a neuron model in the presence of noise","volume":"27","author":"Channell","year":"2009","journal-title":"J Comp Neurosci"},{"issue":"11","key":"10.1016\/j.cnsns.2015.11.024_bib0038","article-title":"Spontaneous voltage oscillations and response dynamics of a Hodgkin-Huxley type model of sensory hair cells","volume":"1","author":"Neiman","year":"2011","journal-title":"J Math Neurosci"},{"issue":"2","key":"10.1016\/j.cnsns.2015.11.024_bib0039","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1145\/779359.779362","article-title":"MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs","volume":"29","author":"Dhooge","year":"2003","journal-title":"ACM Trans Math Software"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570415004037?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570415004037?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2022,7,7]],"date-time":"2022-07-07T12:24:35Z","timestamp":1657196675000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570415004037"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7]]},"references-count":39,"alternative-id":["S1007570415004037"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2015.11.024","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2016,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Mixed-mode synchronization between two inhibitory neurons with post-inhibitory rebound","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2015.11.024","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2015 Elsevier B.V. All rights reserved.","name":"copyright","label":"Copyright"}]}}